hp-Cloud approximation of the Dirac eigenvalue problem: The way of stability
Journal article, 2014
We apply hp-cloud method to the radial Dirac eigenvalue problem. The difficulty of occurrence of spurious eigenvalues among the genuine ones in the computation is resolved. The method of treatment is based on assuming hp-cloud Petrov-Galerkin scheme to construct the weak formulation of the problem which adds a consistent diffusivity to the variational formulation. The size of the artificially added diffusion term is controlled by a stability parameter (tau). The derivation of tau assumes the limit behavior of the eigenvalues at infinity. The parameter tau is applicable for generic basis functions. This is combined with the choice of appropriate intrinsic enrichments in the construction of the cloud shape functions. (C) 2014 Elsevier Inc. All rights reserved.
FREE GALERKIN METHOD